10146 has 16 divisors (see below), whose sum is σ = 21600. Its totient is φ = 3168.

The previous prime is 10141. The next prime is 10151. The reversal of 10146 is 64101.

10146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10141) and next prime (10151).

It is a super-3 number, since 3×10146³ = 3133327776408, which contains 333 as substring.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141) by changing a digit.

10146 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 158.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

2¹⁰¹⁴⁶ is an apocalyptic number.

10146 is an abundant number, since it is smaller than the sum of its proper divisors (11454).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10800).

10146 is a wasteful number, since it uses less digits than its factorization.

10146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10146 is about 100.7273547752. The cubic root of 10146 is about 21.6486898883.

Adding to 10146 its reverse (64101), we get a palindrome (74247).

It can be divided in two parts, 1014 and 6, that multiplied together give a square (6084 = 78²).

The spelling of 10146 in words is "ten thousand, one hundred forty-six".